---
id: 5900f4791000cf542c50ff8b
title: >-
  問題 268：計算至少有四個不同的質因數小於 100 的數
challengeType: 1
forumTopicId: 301917
dashedName: >-
  problem-268-counting-numbers-with-at-least-four-distinct-prime-factors-less-than-100
---

# --description--

It can be verified that there are 23 positive integers less than 1000 that are divisible by at least four distinct primes less than 100.

Find how many positive integers less than ${10}^{16}$ are divisible by at least four distinct primes less than 100.

# --hints--

`fourDistinctPrimeFactors()` should return `785478606870985`.

```js
assert.strictEqual(fourDistinctPrimeFactors(), 785478606870985);
```

# --seed--

## --seed-contents--

```js
function fourDistinctPrimeFactors() {

  return true;
}

fourDistinctPrimeFactors();
```

# --solutions--

```js
// solution required
```
